And don't forget, in a para-time society lots of the pressures driving people towards crime will be absent or different. The price of property would plummet, resources may be more available, jobs plentiful, especially in eg. construction. Less people pushed to extremes.
Terry Pratchett and Stephen Baxter's spin on the idea saw para-time societies as having the potential for the marriage of hunter gathering and urban life. You can't sustain a city on one world by foraging, but if you have access to an infinity of worlds on foot outside your front door...para-time societies may tend towards post-scarcity.
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